1009645724256 has 192 divisors, whose sum is σ = 2917664467200. Its totient is φ = 303818397696.

The previous prime is 1009645724251. The next prime is 1009645724257. The reversal of 1009645724256 is 6524275469001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1009645724199 and 1009645724208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009645724251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11579190 + ... + 11666058.

It is an arithmetic number, because the mean of its divisors is an integer number (15196169100).

Almost surely, 2^{1009645724256} is an apocalyptic number.

1009645724256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009645724256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458832233600).

1009645724256 is an abundant number, since it is smaller than the sum of its proper divisors (1908018742944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009645724256 is a wasteful number, since it uses less digits than its factorization.

1009645724256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87101 (or 87093 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 1009645724256 in words is "one trillion, nine billion, six hundred forty-five million, seven hundred twenty-four thousand, two hundred fifty-six".